The Community for Technology Leaders
Green Image
A fractal tiling (f-tiling) is a tiling whose boundary is fractal. This article presents two families of rare, infinitely many f-tilings. Each f-tiling is constructed by reducing tiles by a fixed scaling factor, using a single prototile, which is a segment of a regular polygon. The authors designed invariant mappings to automatically produce appealing seamless, colored patterns from such tilings.
Fractals, Equations, Boundary conditions, Mathematics
Peichang Ouyang, Robert W. Fathauer, "Beautiful Math, Part 2: Aesthetic Patterns Based on Fractal Tilings", IEEE Computer Graphics and Applications, vol. 34, no. , pp. 68-76, Jan.-Feb. 2014, doi:10.1109/MCG.2014.6
98 ms
(Ver 3.3 (11022016))